We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
176
1
avatar+96 

Order from greatest to least 
a) 25^100
b) 2^300
c) 3^400
d) 4^200
e) 2^600

 Aug 25, 2018

Best Answer 

 #1
avatar+391 
+3

Since there is no common base number, we will have to make a common exponent number. The GCF of all of these exponents is \(100\), so lets make all of the exponents \(100\). We have:

 

a) \({25}^{100}\)

b) \({2}^{3(100)} = {8}^{100}\)

c) \({3}^{4(100)} = {81}^{100}\)

d) \({4}^{2(100)} = {16}^{100}\)

e) \({2}^{6(100)} = {64}^{100}\)

 

By looking at the base numbers, we can tell which is the least and which is the greatest. The numbers from greatest to least is: \(3^{400} , 2^{600}, 25^{100} , 4^{200} , 2^{300}\)

 

- Daisy

 Aug 25, 2018
 #1
avatar+391 
+3
Best Answer

Since there is no common base number, we will have to make a common exponent number. The GCF of all of these exponents is \(100\), so lets make all of the exponents \(100\). We have:

 

a) \({25}^{100}\)

b) \({2}^{3(100)} = {8}^{100}\)

c) \({3}^{4(100)} = {81}^{100}\)

d) \({4}^{2(100)} = {16}^{100}\)

e) \({2}^{6(100)} = {64}^{100}\)

 

By looking at the base numbers, we can tell which is the least and which is the greatest. The numbers from greatest to least is: \(3^{400} , 2^{600}, 25^{100} , 4^{200} , 2^{300}\)

 

- Daisy

dierdurst Aug 25, 2018

13 Online Users

avatar